What is the prime factor of 63?

The prime factorization of 63 is 3 x 3 x 7.

Prime factors are the prime numbers that divide a given number exactly, without leaving any remainder. In the case of 63, its prime factors are 3 and 7.

To find the prime factorization of 63, you start by dividing the number by the smallest prime number, which is 2. However, 63 is not divisible by 2. Next, you divide it by the next smallest prime number, which is 3. 63 divided by 3 is 21. Since 21 is still divisible by 3, you divide it again by 3, resulting in 7. Finally, 7 is a prime number, so you stop here.

Therefore, the prime factorization of 63 is 3 x 3 x 7, or 3^2 x 7.